5008617600 has 384 divisors, whose sum is σ = 19130858880. Its totient is φ = 1128038400.

The previous prime is 5008617599. The next prime is 5008617613. The reversal of 5008617600 is 67168005.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4905090 + ... + 4906110.

It is an arithmetic number, because the mean of its divisors is an integer number (49819945).

Almost surely, 2^5008617600 is an apocalyptic number.

5008617600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5008617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565429440).

5008617600 is an abundant number, since it is smaller than the sum of its proper divisors (14122241280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5008617600 is a wasteful number, since it uses less digits than its factorization.

5008617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5008617600 is about 70771.5875192863. The cubic root of 5008617600 is about 1710.9577754066.

The spelling of 5008617600 in words is "five billion, eight million, six hundred seventeen thousand, six hundred".